Finite Group Databasebeta

← #29700833

Subgroups — #29700833

Order 15616.

1012 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839935C211yesmaximal, characteristic
2#21454654C211yesmaximal, characteristic, complemented
3#21454647C211yesmaximal, characteristic, complemented
4#21454352C211yesmaximal, characteristic, complemented
5#21446632C211yesmaximal, characteristic, complemented
6#21446477C211yesmaximal, characteristic, complemented
7#21446471C211yesmaximal, characteristic, complemented
8#21446327C211yesmaximal, characteristic, complemented
9#21446325C211yesmaximal, characteristic, complemented
10#21446204C211yesmaximal, characteristic, complemented
11#21446045C211yesmaximal, characteristic, complemented
12#21446043C211yesmaximal, characteristic, complemented
13#21445666C211yesmaximal, characteristic, complemented
14#21445661C211yesmaximal, characteristic, complemented
15C61×#2898C211yesmaximal, characteristic, complemented
16C2×#14519802C2211yescharacteristic
17C2×#14519802C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519766C2211yescharacteristic
20#16840245C2211yescharacteristic
21#16840236C2211yescharacteristic
22#16839935C418yescomplemented
23#16839872—21no—
24#16839871—21no—
25#16839865—21no—
26#16839860—21no—
27C4×#11758201—21no—
28#16839847—21no—
29C4×#11758199—21no—
30#16839842—21no—
31#16839805C2211yescharacteristic
32#16839802C2211yescharacteristic
33C2×#14519704C2211yescharacteristic
34C2×#14519704C2211yescharacteristic
35#16839771—21no—
36#16839771C2211yescharacteristic
37#16839763—21no—
38#16839763C2211yescharacteristic
39#16839758—21no—
40#16839758C2211yescharacteristic
41C2×#14519701—21no—
42C2×#14519701C2211yescharacteristic
43C2×#14519699C2211yescharacteristic
44C2×#14519697C2211yescharacteristic
45C2×#14519696C2211yescharacteristic
46C2×#14519693C2211yescharacteristic
47#16839718C2211yescharacteristic
48#16839717C2211yescharacteristic
49C2×#14519687C2211yescharacteristic
50#16839631C2211yescharacteristic
51#16839531C2211yescharacteristic
52#16839530C2211yescharacteristic
53#16839527C2211yescharacteristic
54#16839526C2211yescharacteristic
55#16839523C2211yescharacteristic
56#16839521C2211yescharacteristic
57C2×2−1+4×C61C2211yescharacteristic
58C2×#131×C61C2211yescharacteristic
59C61×#520C2211yescharacteristic
60C61×#419—21no—
61C61×#419C2211yescharacteristic
62C61×#417—21no—
63C61×#417C2211yescharacteristic
64C61×#416—21no—
65C61×#416C2211yescharacteristic
66C2×#103×C61—21no—
67C2×#103×C61C2211yescharacteristic
68C22×D244C2311yescharacteristic
69#14519802—22no—
70#14519802—22no—
71#14519802C2×C414yescomplemented
72#14519802C2×C414yescomplemented
73C2×#11758201—21no—
74C2×#11758201—21no—
75C2×#11758199—21no—
76C2×#11758199—21no—
77#14519784—22no—
78#14519784—41no—
79C2×#11758194—21no—
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C22×#92418—21no—
84C22×#92418C2311yescharacteristic
85#14519766—41no—
86#14519766C2×C414yescomplemented
87Q8×Dic61—21no—
88C4×D244—21no—
89C4×D244—21no—
90D4×Dic61—21no—
91D4×Dic61—41no—
92#14519739—21no—
93#14519739—21no—
94#14519736—21no—
95#14519736C2311yescharacteristic
96C2×C4⋊Dic61—21no—
97C2×C4⋊Dic61C2311yescharacteristic
98C2×#11758196—41no—
99C2×#11758198—41no—
100C22⋊C4×D61—41no—
101C2×C4×Dic61C2311yescharacteristic
102#14519710—21no—
103#14519710—21no—
104#14519708—21no—
105#14519708—21no—
106#14519704C2×C414yescomplemented
107#14519704C2×C414yescomplemented
108#14519701—21no—
109#14519701—21no—
110#14519701—21no—
111#14519701—21no—
112#14519701—21no—
113#14519701D411yescharacteristic
114#14519701D411yescharacteristic
115#14519699—21no—
116#14519699—21no—
117#14519698—21no—
118#14519698D411yescharacteristic
119#14519698D411yescharacteristic
120#14519697—21no—
121#14519697—21no—
122#14519696C2×C414yescomplemented
123#14519693—41no—
124#14519688—21no—
125#14519687—21no—
126#14519687—41no—
127C4×#92418—21no—
128C8×Dic61—21no—
1292−1+4×C61—22no—
1302−1+4×C61—22no—
1312−1+4×C61—41no—
1322−1+4×C61C2×C414yescomplemented
133C2×#41×C61—21no—
134C2×#41×C61—21no—
135C2×#41×C61—41no—
136C2×#41×C61C2311yescharacteristic
137C2×#41×C61C2311yescharacteristic
138C22×Q8×C61—21no—
139C22×Q8×C61—21no—
140C22×Q8×C61C2311yescharacteristic
141#131×C61—22no—
142#131×C61—41no—
143C2×M16×C61—21no—
144C2×M16×C61C2311yescharacteristic
145C22×C8×C61—21no—
146C22×C8×C61C2311yescharacteristic
147C4×Q8×C61—21no—
148C4×D4×C61—21no—
149C4×D4×C61—41no—
150#117×C61—21no—
151#117×C61C2311yescharacteristic
152C2×C4⋊C4×C61—21no—
153C2×C4⋊C4×C61C2311yescharacteristic
154#103×C61—21no—
155#103×C61—21no—
156#103×C61—21no—
157#103×C61—21no—
158#103×C61—21no—
159#103×C61D411yescharacteristic
160#103×C61D411yescharacteristic
161#102×C61—21no—
162#102×C61D411yescharacteristic
163#102×C61D411yescharacteristic
164C23×D61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—21no—
169#41×C61—24no—
170#41×C61—24no—
171#41×C61—44no—
172#41×C61—42no—
173#41×C61—42no—
174#41×C61—44no—
175#41×C61C22×C412yes—
176#41×C61C22×C412yes—
177#41×C61#4112yes—
178#41×C61#4112yes—
179C2×Q8×C61—21no—
180C2×Q8×C61—24no—
181C2×Q8×C61—24no—
182C2×Q8×C61—21no—
183C2×Q8×C61—21no—
184C2×Q8×C61—21no—
185C2×Q8×C61—21no—
186C2×Q8×C61—41no—
187C2×Q8×C61—42no—
188C2×Q8×C61—42no—
189C2×Q8×C61C22×C412yes—
190C2×Q8×C61C2×D411yescharacteristic
191C2×Q8×C61C2×D411yescharacteristic
192C2×D4×C61—21no—
193C2×D4×C61—21no—
194C2×D4×C61—41no—
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D411yescharacteristic
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—41no—
202C22×C4×C61—41no—
203C22×C4×C61—41no—
204C22×C4×C61C2411yescharacteristic
205C22×Dic61—21no—
206C22×Dic61—21no—
207C22×Dic61—41no—
208C2×D244—21no—
209C2×D244—21no—
210C2×D244—21no—
211C2×D244—21no—
212C2×D244—21no—
213C2×D244C22×C412yes—
214C2×C4×D61—41no—
215C2×C4×D61—41no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61—42no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—42no—
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—41no—
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C22⋊C4×C61—21no—
231C22⋊C4×C61—41no—
232C42×C61—21no—
233C42×C61—41no—
234C22⋊Dic61—21no—
235C22⋊Dic61—41no—
236#11758201—24no—
237#11758201—24no—
238#11758199—24no—
239#11758199—24no—
240#11758198—44no—
241#11758198—41no—
242#11758198—41no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—41no—
246C4⋊Dic61C2×D411yescharacteristic
247C4⋊Dic61C2×D411yescharacteristic
248#11758196—82no—
249C4×Dic61—21no—
250C4×Dic61—21no—
251C4×Dic61—41no—
252C4×Dic61C22×C412yes—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—42no—
258#11758194C22×C412yes—
259#11758194C22×C412yes—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—42no—
266C2×#92418C2×D411yescharacteristic
267C2×#92418C2×D411yescharacteristic
268C23×C61—21no—
269C23×C61—21no—
270C23×C61H(5,𝔽2)11yescharacteristic
271C22×D61—22no—
272C22×D61—41no—
273C22×D61—41no—
274C22×D61—81no—
275C22×D61—81no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—22no—
279Q8×C61—22no—
280Q8×C61—44no—
281Q8×C61—41no—
282Q8×C61—41no—
283Q8×C61C4×D412yes—
284Q8×C61C4×D412yes—
285D4×C61—22no—
286D4×C61—22no—
287D4×C61—22no—
288D4×C61—22no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—44no—
292D4×C61C4×D412yes—
293D4×C61C4×D412yes—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—22no—
297C2×C4×C61—22no—
298C2×C4×C61—22no—
299C2×C4×C61—22no—
300C2×C4×C61—22no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—44no—
304C2×C4×C61—44no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—81no—
309C2×C4×C61—161no—
310C2×C4×C61C23×C411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C2×#4111yescharacteristic
314C2×C4×C61C2×#4111yescharacteristic
315C2×C4×C61H(5,𝔽2)11yescharacteristic
316C2×Dic61—22no—
317C2×Dic61—21no—
318C2×Dic61—21no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—41no—
322C2×Dic61—81no—
323C2×Dic61—161no—
324D244—22no—
325D244—22no—
326D244—41no—
327D244—41no—
328C4×D61—161no—
329C4×D61—161no—
330C8×C61—21no—
331C8×C61—21no—
332C8×C61—41no—
333#92418—22no—
334#92418—22no—
335#92418—21no—
336#92418—21no—
337#92418—41no—
338#22893—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—22no—
342C22×C61—22no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61#51811yescharacteristic
348C22×C61D4211yescharacteristic
349C22×C61#55111yescharacteristic
350C2×D61—42no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—82no—
354C2×D61—161no—
355C4×C61—22no—
356C4×C61—22no—
357C4×C61—42no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—81no—
361C4×C61C2×C4×D411yescharacteristic
362C4×C61C2×C4×D411yescharacteristic
363C4×C61#54611yescharacteristic
364C4×C61#54611yescharacteristic
365Dic61—42no—
366Dic61—41no—
367Dic61—41no—
368Dic61—81no—
369C2×#454—611no—
370#2946—611no—
371#2946—611no—
372#2898—611no—
373#2898D6111yescharacteristic, complemented
374#1959—611no—
375#1930—611no—
376#1930—611no—
377#1907—611no—
378#1907—611no—
379#1885—611no—
380#1859—611no—
381#1859—611no—
382#1765—611no—
383#1765—611no—
384C2×C61—21no—
385C2×C61—21no—
386C2×C61—42no—
387C2×C61—42no—
388C2×C61#235811yescharacteristic
389C2×C61#328811yescharacteristic
390C2×C61#328911yescharacteristic
391D61—82no—
392C2×2−1+4C2×D6111yescharacteristic
393C2×AGL(1,ℤ/8)—611no—
394C2×AGL(1,ℤ/8)—611no—
395C2×#131—611no—
396C2×#131C2×D6111yescharacteristic
397C2×#124—611no—
398#520—611no—
399#520C2×D6111yescharacteristic
400#518—611no—
401#454—618no—
402#442—1221no—
403#442—1221no—
404#440—1221no—
405#440—1221no—
406C4×SD16—1221no—
407C4×SD16—1221no—
408C4×D8—1221no—
409C4×D8—1221no—
410#428—611no—
411#428—611no—
412C2×#104—611no—
413C2×#104—611no—
414#419—21no—
415#419—611no—
416#419—1221no—
417#419C2×D6111yescharacteristic
418#417—21no—
419#417—611no—
420#417—1221no—
421#417C2×D6111yescharacteristic
422#416—21no—
423#416—611no—
424#416—1221no—
425#416C2×D6111yescharacteristic
426C2×#103—21no—
427C2×#103—611no—
428C2×#103—1221no—
429C2×#103C2×D6111yescharacteristic
430C2×#102—611no—
431C2×#102—611no—
432C2×#101—611no—
433C2×#100—611no—
434#405—611no—
435#405—611no—
436C2×#97—611no—
437#384—611no—
438#343—611no—
439#343—611no—
440#341—611no—
441#341—611no—
442#339—611no—
443#339—611no—
444C61#2289311yescharacteristic, complemented, Sylow
4452−1+4—22no—
4462−1+4—22no—
4472−1+4—41no—
4482−1+4C4×D6114yescomplemented
449C2×#41—21no—
450C2×#41—21no—
451C2×#41—41no—
452C2×#41C22×D6111yescharacteristic
453C2×#41C22×D6111yescharacteristic
454C22×Q8—21no—
455C22×Q8—21no—
456C22×Q8C22×D6111yescharacteristic
457C22×D4—611no—
458AGL(1,ℤ/8)—614no—
459AGL(1,ℤ/8)—614no—
460AGL(1,ℤ/8)—1222no—
461AGL(1,ℤ/8)—1222no—
462C2×SD16—1221no—
463C2×SD16—1221no—
464C2×D8—1221no—
465C2×D8—1221no—
466#131—22no—
467#131—41no—
468#131—1222no—
469#131—2441no—
470C2×M16—21no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—1221no—
475C2×M16C22×D6111yescharacteristic
476C22×C8—21no—
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8C22×D6111yescharacteristic
480#124—614no—
481#124—2441no—
482C4×Q8—21no—
483C4×Q8—1221no—
484C4×D4—21no—
485C4×D4—41no—
486C4×D4—1221no—
487C4×D4—1221no—
488C4×D4—1221no—
489C4×D4—1221no—
490C4×D4—1221no—
491C4×D4—2441no—
492#117—21no—
493#117—611no—
494#117—1221no—
495#117C22×D6111yescharacteristic
496C2×C4⋊C4—21no—
497C2×C4⋊C4—611no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—2441no—
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C22⋊C4—2441no—
502C2×C22⋊C4—2441no—
503C2×C42—611no—
504#107—1221no—
505#107—1221no—
506#106—1221no—
507#106—1221no—
508#104—614no—
509#104—614no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—21no—
514#103—21no—
515#103—611no—
516#103—611no—
517#103—1221no—
518#103—1221no—
519#103—1221no—
520#103—1221no—
521#103—1221no—
522#103C22⋊D6111yescharacteristic
523#103C22⋊D6111yescharacteristic
524#102—21no—
525#102—611no—
526#102—611no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102C22⋊D6111yescharacteristic
533#102C22⋊D6111yescharacteristic
534#101—614no—
535#100—2441no—
536#97—1221no—
537#97—1221no—
538#97—2441no—
539C4×C8—1221no—
540C4×C8—1221no—
541C24—1221no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—24no—
547#41—24no—
548#41—44no—
549#41—42no—
550#41—42no—
551#41—44no—
552#41C2×C4×D6112yes—
553#41C2×C4×D6112yes—
554#41#1175822212yes—
555#41#1175822412yes—
556C2×Q8—21no—
557C2×Q8—24no—
558C2×Q8—24no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—41no—
564C2×Q8—42no—
565C2×Q8—42no—
566C2×Q8C2×C4×D6112yes—
567C2×Q8D4×D6111yescharacteristic
568C2×Q8C2×C22⋊D6111yescharacteristic
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—41no—
572C2×D4—612no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4D4×D6111yescharacteristic
579C2×D4C2×C22⋊D6111yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—41no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4—2441no—
592C22×C4C23×D6111yescharacteristic
593SD16—1224no—
594SD16—1224no—
595D8—1224no—
596D8—1224no—
597M16—21no—
598M16—21no—
599M16—42no—
600M16—612no—
601M16—612no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—1221no—
606M16—2442no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—42no—
611C2×C8—611no—
612C2×C8—611no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—2442no—
619C2×C8C2×C22⋊D6111yescharacteristic
620C2×C8C2×C22⋊D6111yescharacteristic
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—41no—
624C4⋊C4—611no—
625C4⋊C4—611no—
626C4⋊C4—1221no—
627C4⋊C4—1221no—
628C4⋊C4—4882no—
629C4⋊C4—2441no—
630C4⋊C4C2×C22⋊D6111yescharacteristic
631C4⋊C4C2×C22⋊D6111yescharacteristic
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—1221no—
635C22⋊C4—2444no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—41no—
641C42—612no—
642C42—1221no—
643C42—1221no—
644C42—2441no—
645C23—21no—
646C23—21no—
647C23—1222no—
648C23—4881no—
649C23—4881no—
650C23—2441no—
651C23—2441no—
652C23#1451982211yescharacteristic
653Q8—21no—
654Q8—21no—
655Q8—22no—
656Q8—22no—
657Q8—44no—
658Q8—41no—
659Q8—41no—
660Q8#1451973712yes—
661Q8C4×C22⋊D6112yes—
662D4—22no—
663D4—22no—
664D4—22no—
665D4—22no—
666D4—21no—
667D4—21no—
668D4—44no—
669D4—1222no—
670D4—1222no—
671D4—2441no—
672D4—2441no—
673D4#1451973712yes—
674D4C4×C22⋊D6112yes—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—161no—
691C2×C4—1222no—
692C2×C4—1221no—
693C2×C4—1221no—
694C2×C4—9761no—
695C2×C4—9761no—
696C2×C4—9761no—
697C2×C4—4881no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4C22×C4×D6111yescharacteristic
702C2×C4C2×D4×D6111yescharacteristic
703C2×C4C22×C22⋊D6111yescharacteristic
704C2×C4C2×#1175822411yescharacteristic
705C2×C4C2×#1175822211yescharacteristic
706C2×C4#1451982211yescharacteristic
707C8—21no—
708C8—21no—
709C8—41no—
710C8—1222no—
711C8—1222no—
712C8—1221no—
713C8—1221no—
714C8—2441no—
715C22—21no—
716C22—21no—
717C22—22no—
718C22—22no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—9761no—
724C22—4882no—
725C22—4881no—
726C22—4881no—
727C22—2442no—
728C22#1684023511yescharacteristic
729C22D4×C22⋊D6111yescharacteristic
730C22#1684043811yescharacteristic
731C4—22no—
732C4—22no—
733C4—42no—
734C4—41no—
735C4—41no—
736C4—81no—
737C4—4881no—
738C4—2442no—
739C4—2441no—
740C4—2441no—
741C4C2×#1451973711yescharacteristic
742C4C2×C4×C22⋊D6111yescharacteristic
743C4#1684040211yescharacteristic
744C4#1684040611yescharacteristic
745C2—21no—
746C2—21no—
747C2—42no—
748C2—42no—
749C2—4882no—
750C2#2144879811yescharacteristic
751C2#2145758111yescharacteristic
752C2#2145759011yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2898C2
socleC22×C61D42
prime radicalC2×#16839935C2
cosocleC22×C4×C61C24
hypercenter#2898D61
hypocenterC61#22893
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2898

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #21454654C2semidirect
3. #21454647C2semidirect
4. #21454352C2semidirect
5. #21446632C2semidirect
6. #21446477C2semidirect
7. #21446471C2semidirect
8. #21446327C2semidirect
9. #21446325C2semidirect
10. #21446204C2semidirect
11. #21446045C2semidirect
12. #21446043C2semidirect
13. #21445666C2semidirect
14. #21445661C2semidirect
15. C61×#2898C2semidirect
22. #16839935C4semidirect
71. #14519802C2×C4semidirect
72. #14519802C2×C4semidirect
86. #14519766C2×C4semidirect
106. #14519704C2×C4semidirect
107. #14519704C2×C4semidirect
122. #14519696C2×C4semidirect
132. 2−1+4×C61C2×C4semidirect
373. #2898D61semidirect
444. C61#22893semidirect
448. 2−1+4C4×D61semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168399352
#214546542
#214546472
#214543522
#214466322
#214464772
#214464712
#214463272
#214463252
#214462042
#214460452
#214460432
#214456662
#214456612
C61×#28982
#2289361